Chapter SH, Problem 6.19EP

To determine

To graph the system of inequality

  

  

Answer to Problem 6.19EP

Graph:

  

Explanation of Solution

Given information:

  ........(1)

  ........(2)

Calculation:

Rewrite equation (1) and (2) in slope intercept form

  3)

  ........(4)

From equation(3)

Slope=-0.5

Y-intercept: (0,-3)

Means -0.5 change in y coordinate with respect to 1 unit change in x-coordinate

Put x=6 and y=-3 in equation (3)

  

On solving,

  

Above expression is not true for equal sign but true for less than sign

Then graph will be down to line

  

From equation (4)

  

Slope=-1

Means -1 change in y- coordinate then 1 change in x-coordinate

Y-intercept: (0,3)

Put x=3 and y=3 in equation (4)

Then,

  

On solving,

  not true

Then graph will be

  

The graph of the system of equation